8148208320 has 168 divisors, whose sum is σ = 32030298144. Its totient is φ = 1862443008.

The previous prime is 8148208309. The next prime is 8148208363. The reversal of 8148208320 is 238028418.

It is a happy number.

8148208320 is a `hidden beast` number, since 81 + 482 + 0 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×8148208320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181929 + ... + 222248.

Almost surely, 2^8148208320 is an apocalyptic number.

8148208320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8148208320 is an abundant number, since it is smaller than the sum of its proper divisors (23882089824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8148208320 is a wasteful number, since it uses less digits than its factorization.

8148208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404207 (or 404194 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8148208320 is about 90267.4266831619. The cubic root of 8148208320 is about 2012.2751989427.

The spelling of 8148208320 in words is "eight billion, one hundred forty-eight million, two hundred eight thousand, three hundred twenty".